11304400 has 60 divisors (see below), whose sum is σ = 27676800. Its totient is φ = 4435840.

The previous prime is 11304379. The next prime is 11304401. The reversal of 11304400 is 440311.

It is a super-3 number, since 3×11304400³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23361 + ... + 23839.

It is an arithmetic number, because the mean of its divisors is an integer number (461280).

Almost surely, 2^11304400 is an apocalyptic number.

11304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13838400).

11304400 is an abundant number, since it is smaller than the sum of its proper divisors (16372400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11304400 is a wasteful number, since it uses less digits than its factorization.

11304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11304400 is about 3362.2016596272. The cubic root of 11304400 is about 224.4308247644.

Adding to 11304400 its reverse (440311), we get a palindrome (11744711).

The spelling of 11304400 in words is "eleven million, three hundred four thousand, four hundred".